What is the answer to sqrt(5x-11)=sqrt(x)+1 ?

The answer to sqrt(5x-11)=sqrt(x)+1 is x=4

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sqrt(5x-11)=sqrt(x)+1

5 x - 11 = x + 1

x = 4

Solution steps

5 x - 11 = x + 1

Remove square roots

16 x^{2} - 96 x + 144 = 4 x

Solve

16 x^{2} - 96 x + 144 = 4 x : x = 4, x = \frac{9}{4}

x = 4, x = \frac{9}{4}

Verify Solutions:

x = 4

True

, x = \frac{9}{4}

False

The solution is

x = 4

2 x^{3} - 3 x^{2} - 11 x + 6 = 0

x - 48 = 8 - x

2 x + 14 = 16

y^{\frac{1}{4}} = 3

x - 5 + 7 = x - 3

What is the answer to sqrt(5x-11)=sqrt(x)+1 ?
The answer to sqrt(5x-11)=sqrt(x)+1 is x=4
Solve for x: sqrt(5x-11)=sqrt(x)+1
The solution is x=4